Math Problem Statement
figure; hold on; % Define block labels and text lengths blockLabels = { '定义给定参数', '定义二维正态分布的概率密度函数', '计算炸弹落在潜艇区域内的概率', '定义深度方向上的命中概率', '定义总命中概率函数', '设置初始优化猜测值和优化约束', '使用 fmincon 进行优化', '显示优化结果' }; % Define text properties for size calculation fontSize = 12; fontWeight = 'bold'; % Calculate widths and heights based on text length textWidths = cellfun(@(txt) max(strlength(txt) * 0.1, 0.4), blockLabels, 'UniformOutput', false); textHeights = cellfun(@(txt) 0.2, blockLabels, 'UniformOutput', false); % Uniform height % Define block positions with larger gaps between them blockPos = [ 0.5, 0.9; % 定义给定参数 0.5, 0.65; % 定义二维正态分布的概率密度函数 0.5, 0.4; % 计算炸弹落在潜艇区域内的概率 0.5, 0.15; % 定义深度方向上的命中概率 0.5, -0.1; % 定义总命中概率函数 0.5, -0.35; % 设置初始优化猜测值和优化约束 0.5, -0.6; % 使用 fmincon 进行优化 0.5, -0.85; % 显示优化结果 ]; % Define colors for blocks blockColors = [ [0.9, 0.9, 0.9]; % Light grey [0.8, 1, 0.8]; % Light green [0.8, 0.8, 1]; % Light blue [1, 1, 0.8]; % Light yellow [1, 0.8, 0.8]; % Light red [0.8, 0.8, 0.8]; % Grey [0.8, 1, 1]; % Light cyan [1, 1, 1]; % White ]; % Draw blocks with dynamic widths and heights for i = 1:length(blockLabels) % Adjust the width and height based on text length and properties blockWidth = textWidths{i}; blockHeight = textHeights{i}; rectangle('Position', [blockPos(i, 1)-blockWidth/2, blockPos(i, 2)-blockHeight/2, blockWidth, blockHeight], ... 'Curvature', [0.2, 0.2], ... 'FaceColor', blockColors(i, :), ... 'EdgeColor', 'k', ... 'LineWidth', 1.5); text(blockPos(i, 1), blockPos(i, 2), blockLabels{i}, ... 'HorizontalAlignment', 'center', ... 'VerticalAlignment', 'middle', ... 'FontSize', fontSize, ... 'FontWeight', fontWeight); end % Draw curved arrows with triangle heads for i = 1:length(blockLabels)-1 % Coordinates for the start and end of the arrow startPos = [blockPos(i, 1), blockPos(i, 2)]; endPos = [blockPos(i+1, 1), blockPos(i+1, 2)]; % Calculate coordinates for curved arrows with additional gap curveX = [startPos(1), (startPos(1) + endPos(1)) / 2, endPos(1)]; curveY = [startPos(2), (startPos(2) + endPos(2)) / 2 + 0.1, endPos(2)]; % Plot the curved line plot(curveX, curveY, 'LineWidth', 2, 'Color', [0, 0.5, 1]); % Draw the arrow head arrowHeadSize = 0.1; % Adjusted size for the arrow head % Calculate arrow head coordinates angle = atan2(curveY(end) - curveY(end-1), curveX(end) - curveX(end-1)); arrowHeadX = [endPos(1) - arrowHeadSize * cos(angle - pi/6), endPos(1), endPos(1) - arrowHeadSize * cos(angle + pi/6)]; arrowHeadY = [endPos(2) - arrowHeadSize * sin(angle - pi/6), endPos(2), endPos(2) - arrowHeadSize * sin(angle + pi/6)]; % Fill the arrow head with semi-transparent color patch(arrowHeadX, arrowHeadY, [0, 0.5, 1], 'EdgeColor', 'k', 'FaceAlpha', 0.5, 'LineWidth', 1.5); end % Set axis limits and remove axis axis off; xlim([0, 1]); ylim([-1.3, 1.1]); hold off; 优化这一段在matlab中生成流程图的代码,使之更加清晰可观,并且其中第一步是模型求解,第二步是但落点位置分布,第三步是模型化可视分析,第四步是结论。
Solution
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Math Problem Analysis
Mathematical Concepts
Optimization
Probability Distribution
Visual Analysis
Formulas
Two-dimensional normal distribution probability density function
Hit probability function
fmincon optimization algorithm
Theorems
Normal Distribution Theorem
Optimization Theorem in Calculus
Suitable Grade Level
Advanced Undergraduate or Graduate
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